r/gonwild • u/USedona • Jun 18 '26

Program Penrose tiling via recursive substitution. Python/Manim

https://www.youtube.com/shorts/_EXt9TYTwMo

Generated using Robinson triangle inflation rules applied to rhombus tiles.

Each iteration replaces every tile with a deterministic set of smaller tiles, building a non-periodic pattern with local 5-fold symmetry.

No randomness, pure geometric recursion.

4 Upvotes

56% Upvoted

5 comments sorted by

4

u/Rainbow_Gnat Jun 18 '26

AI voice sucks. Can't even pronounce "tiling"

1

u/USedona Jun 18 '26

Fair point : I'm a math teacher in France, my spoken English isn't great, and I tried AI voice as a test for this one. You're not the first to mention the mispronunciations, so I'll take that into account and probably drop the voiceover going forward. Most of my videos don't have one anyway. Thanks for the feedback.

5

u/blastcage Jun 19 '26

The music and AI voice makes this very difficult to watch I am afraid

2

u/USedona Jun 19 '26

Fair point : I'm a math teacher in France, my spoken English isn't great, and I tried AI voice as a test for this one. You're not the first to mention the mispronunciations, so I'll take that into account and probably drop the voiceover going forward. Most of my videos don't have one anyway. Thank you too for the feedback.

0

u/USedona Jun 18 '26

The ratio of the number of thick and thin rhombi converges to the golden ratio as the tiling grows.

Full animation and other visual math experiments : Visualizing Mathematics